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math_crasher

  • 2 years ago

Are the two triangles similar? If so, how do you know? Figure is below

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  1. math_crasher
    • 2 years ago
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  2. henpen
    • 2 years ago
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    If all three sides are in the same ratio with the other triangle's sides, then it is similar.

  3. henpen
    • 2 years ago
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    i.e.:\[\frac{12}{8}=\frac{7.5}{5}\]

  4. math_crasher
    • 2 years ago
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    What theorem or postulate you think it would be?

  5. henpen
    • 2 years ago
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    The one that says 'If all of triangle A's sides are in the same proportion to each of the matching sides of triangle B, A and B are similar' You could probably derive that from more fundamental principals.

  6. math_crasher
    • 2 years ago
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    Did you see the figure above?

  7. henpen
    • 2 years ago
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    Yes. 0M=1.5CA, ON=1.5CB, and MN=1.5AB

  8. math_crasher
    • 2 years ago
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    Ah i see so if the triangle has to be proportionate to the other one they have to be equal on all sides?

  9. henpen
    • 2 years ago
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    Yes, as therefore all the angles are forced into being the same.

  10. math_crasher
    • 2 years ago
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    Ah never mind I get it

  11. math_crasher
    • 2 years ago
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    So would you say it is SSS since its measured by its sides?

  12. henpen
    • 2 years ago
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    Yes.

  13. math_crasher
    • 2 years ago
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    Thank you so much

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